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Finding the Fourth Proportional to 20,077.84, 27,706.67 and 11,580.31

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Solution

The fourth proportional to 20,077.84, 27,706.67 and 11,580.31 is: 15,980.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,077.84 : 27,706.67 = 11,580.31 : x
  2. Step 2: Convert to fraction form
    20,077.84/27,706.67 = 11,580.31/x
  3. Step 3: Cross multiply
    20,077.84x = 27,706.67 × 11,580.31
  4. Step 4: Simplify right side
    20,077.84x = 320,851,631.23
  5. Step 5: Solve for x
    x = 320,851,631.23/20,077.84
  6. Step 6: Final answer
    x = 15,980.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.